Results 31 to 40 of about 11,311 (139)
Permutations, matrices, and generalized Young tableaux [PDF]
A generalized Young tableau of ``shape'' \((p_1,p_2,\ldots,p_m)\), where \(p_1\ge p_2\ge \cdots\ge p_m \ge 1\), is an array \(Y\) of positive integers \(y_{ij}\), for \(1\le j\le p_i\), \(1\le i\le m\), having monotonically nondecreasing rows and strictly increasing columns. By extending a construction due to G. de B. Robinson and C.
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Beyond Alternating Permutations: Pattern Avoidance in Young Diagrams and Tableaux [PDF]
We investigate pattern avoidance in alternating permutations and generalizations thereof. First, we study pattern avoidance in an alternating analogue of Young diagrams. In particular, we extend Babson-West's notion of shape-Wilf equivalence to apply to alternating permutations and so generalize results of Backelin-West-Xin and Ouchterlony to ...
Nihal Gowravaram, Ravi Jagadeesan
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Schubert Polynomials and Quiver Formulas [PDF]
The work of Buch and Fulton established a formula for a general kind of degeneracy locus associated to an oriented quiver of type $A$. The main ingredients in this formula are Schur determinants and certain integers, the quiver coefficients, which ...
Buch, Anders Skovsted +3 more
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A Demazure crystal construction for Schubert polynomials [PDF]
Stanley symmetric functions are the stable limits of Schubert polynomials. In this paper, we show that, conversely, Schubert polynomials are Demazure truncations of Stanley symmetric functions.
Assaf, Sami, Schilling, Anne
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Promotion permutations for tableaux
v4: minor corrections, including fixes of indexing issues in Theorem 6.7, Definition 8.21, and Proposition 8 ...
Gaetz, Christian +4 more
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Minimal permutations and 2-regular skew tableaux
19 ...
William Y. C. Chen +2 more
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ABSTRACT This article examines a wave of Orientalism‐inspired food commercials that appeared on television in France between 1975 and 2000. Older commercials for couscous were more banal, emphasizing a given product's superiority or affordability. Around 1975, however, there was a concerted shift in the advertising; new spots contained exoticized ...
Kelly Ricciardi Colvin
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Multicolored permutations, sequences, and tableaux
This paper follows on from the author's recent paper [J. Comb. Theory, Ser. A 53, No.1, 53-67 (1990)] on a multicoloured extension of the classical Simon Newcomb problem. Two related enumeration problems, on multicoloured permutations and multicoloured tableaux, are considered: the generating functions for these problems constitute a ``family'' of ...
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Stack words, standard tableaux and Baxter permutations
The authors present some results connected with the enumeration of stack sortable permutations. In particular, they show that the number of \(3\times n\) rectangular standard Young tableaux which avoid two consecutive integers on the second row is \(c_n^2\) where \(c_n=(2n)!/ (n+1)!n!\) and establish a 1-1 correspondence between the same tableaux which
Dulucq, Serge, Guibert, Olivier
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A q-weighted version of the Robinson-Schensted algorithm
We introduce a q-weighted version of the Robinson-Schensted (column insertion) algorithm which is closely connected to q-Whittaker functions (or Macdonald polynomials with t=0) and reduces to the usual Robinson-Schensted algorithm when q=0.
O'Connell, Neil, Pei, Yuchen
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